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Boolean algebra. Combinational and sequential circuits. Minimization. Number representations and computer arithmetic (fixed and floating point)

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}& \textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{2020}&\textbf{2019}&\textbf{2018}&\textbf{2017-1}&\textbf{2017-2}&\textbf{2016-1}&\textbf{2016-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} & 1&2&3&2&4&2&3&2&3&3&1&2.5&4
\\\hline\textbf{2 Marks Count} & 2&2&2&1&2&2&0&4&2&0&0&1.7&4
\\\hline\textbf{Total Marks} & 5&6&7&4&8&6&3&10&7&3&\bf{3}&\bf{5.9}&\bf{10}\\\hline
\end{array}}}$$

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Recent questions in Digital Logic

24 votes
3 answers
3061
GATE IT 2006 | Question: 7, ISRO2009-41
The addition of $4-bit$, two's complement, binary numbers $1101$ and $0100$ results in $0001$ and an overflow $1001$ and no overflow $0001$ and no overflow $1001$ and an overflow
The addition of $4-bit$, two's complement, binary numbers $1101$ and $0100$ results in$0001$ and an overflow$1001$ and no overflow$0001$ and no overflow$1001$ and an over...
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30 votes
3 answers
3063
GATE IT 2007 | Question: 78
Consider the following expression $a\bar d + \bar a\bar c + b\bar cd$ Which of the following Karnaugh Maps correctly represents the expression?
Consider the following expression$a\bar d + \bar a\bar c + b\bar cd$Which of the following Karnaugh Maps correctly represents the expression?
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39 votes
8 answers
3064
GATE IT 2007 | Question: 45
The line $T$ in the following figure is permanently connected to the ground. Which of the following inputs $(X_1 X_2 X_3 X_4)$ will detect the fault ? $0000$ $0111$ $1111$ None of these
The line $T$ in the following figure is permanently connected to the ground.Which of the following inputs $(X_1 X_2 X_3 X_4)$ will detect the fault ?$0000$$0111$$1111$Non...
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31 votes
2 answers
3065
GATE IT 2007 | Question: 42
$(C012.25)_H - (10111001110.101)_B =$ $(135103.412)_o$ $(564411.412)_o$ $(564411.205)_o$ $(135103.205)_o$
$(C012.25)_H - (10111001110.101)_B =$$(135103.412)_o$$(564411.412)_o$$(564411.205)_o$$(135103.205)_o$
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23 votes
6 answers
3066
GATE IT 2007 | Question: 40
What is the final value stored in the linear feedback shift register if the input is $101101$? $0110$ $1011$ $1101$ $1111$
What is the final value stored in the linear feedback shift register if the input is $101101$?$0110$$1011$$1101$$1111$
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27 votes
2 answers
3068
GATE IT 2007 | Question: 8
The following circuit implements a two-input AND gate using two $2-1$ multiplexers. What are the values of $X_1, X_2, X_3$? $X_1 = b, X_2 = 0, X_3 = a$ $X_1 = b, X_2 = 1, X_3 = b$ $X_1 = a, X_2 = b, X_3 = 1$ $X_1 = a, X_2 = 0, X_3 = b$
The following circuit implements a two-input AND gate using two $2-1$ multiplexers.What are the values of $X_1, X_2, X_3$?$X_1 = b, X_2 = 0, X_3 = a$$X_1 = b, X_2 = 1, X_...
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47 votes
5 answers
3069
GATE IT 2007 | Question: 7
Which of the following input sequences for a cross-coupled $R-S$ flip-flop realized with two $NAND$ gates may lead to an oscillation? $11, 00$ $01, 10$ $10, 01$ $00, 11$
Which of the following input sequences for a cross-coupled $R-S$ flip-flop realized with two $NAND$ gates may lead to an oscillation?$11, 00$$01, 10$$10, 01$$00, 11$
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1 votes
1 answer
3072
The digital operations such as AND, OR, NOT can be performed by using
The digital operations such as AND, OR, NOT can be performed by using A)switches B)amplifiers C)rectifiers D)oscillators
The digital operations such as AND, OR, NOT can be performed by usingA)switchesB)amplifiersC)rectifiersD)oscillators
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30 votes
2 answers
3074
GATE IT 2008 | Question: 9
What Boolean function does the circuit below realize? $xz + \bar{x}\bar{z}$ $x\bar{z} + \bar{x}{z}$ $\bar{x}\bar{y} + {y}{z}$ $xy + \bar{y}\bar{z}$
What Boolean function does the circuit below realize?$xz + \bar{x}\bar{z}$$x\bar{z} + \bar{x}{z}$$\bar{x}\bar{y} + {y}{z}$$xy + \bar{y}\bar{z}$
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27 votes
2 answers
3077
GATE IT 2008 | Question: 1
A set of Boolean connectives is functionally complete if all Boolean functions can be synthesized using those. Which of the following sets of connectives is NOT functionally complete? EX-NOR implication, negation OR, negation NAND
A set of Boolean connectives is functionally complete if all Boolean functions can be synthesized using those. Which of the following sets of connectives is NOT functiona...
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3 votes
4 answers
3078
Kindly have a try .... IN canonical POS form following equation is written as (ABC)=AB+BC+AC (A)πM(0,1,2,4) (B)πM(3,5,6,7) (A)πM(0,1,2,3) (A)πM(4,5,6,7)
Kindly have a try .... IN canonical POS form following equation is written asF(A,B,C)=AB+BC+AC (A)πM(0,1,2,4) (B)πM(3,5,6,7)(C)πM(0,1,2,3) (D)πM(4,5,6,7)
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18 votes
2 answers
3079
GATE CSE 1996 | Question: 24-a
Consider the synchronous sequential circuit in the below figure Draw a state diagram, which is implemented by the circuit. Use the following names for the states corresponding to the values of flip-flops as given below. ... $} \\\hline \end{array}$
Consider the synchronous sequential circuit in the below figureDraw a state diagram, which is implemented by the circuit. Use the following names for the states correspon...
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